1 / 12

CUBE ROOTS

The cube root of a number is the value that, when multiplied by itself three times, gives the original number. It is denoted with a radical sign and has an index of three. Perfect cubes are numbers that can be expressed as the cube of an integer. For example, the cube root of 64 is 4, since (4 times 4 times 4 = 64). Not all numbers have exact cube roots—if not a perfect cube, simplification can be applied. This guide explores the basics of cube roots, explains perfect cubes, and discusses methods for simplifying cube roots.

aniles
Télécharger la présentation

CUBE ROOTS

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. CUBE ROOTS

  2. The cube root of 64 is written as . Cube Roots The index of acube rootisalways3.

  3. What does cube root mean? The cube root of a number is… …the value when multiplied by itself three times gives the original number.

  4. radical sign index radicand Cube Root Vocabulary

  5. Perfect Cubes If a number is a perfect cube, then you can find itsexact cube root. Aperfect cube is a number that can be written as the cube(raised to third power) of another number. ***Note…a cube root can be solved with a negative on the inside of the root symbol

  6. What are Perfect Cubes? 13 = 1 x 1 x 1 = 1 23 = 2 x 2 x 2 = 8 33 = 3 x 3 x 3 = 27 43 = 4 x 4 x 4 = 64 53 = 5 x 5 x 5 = 125 and so on and on and on…..

  7. Examples: because because

  8. Examples:

  9. Simplify Cube Roots Not all numbers or expressions have an exact cube root as in the previous examples. If a number isNOT a perfect cube, then you might be able to SIMPLIFY it.

  10. Tosimplify a cube root ... 1 Write the radicand as a product of two factors, where one of the factors is a perfect cube. 2 Extract the cube root of the factor that is a perfect cube. 3 The factors that are not perfect cubes will remain as the radicand.

  11. perfect cube 1) 2) Examples: 3)

  12. Example: cannot be simplified! Not all cube roots can be simplified! • 30 is not a perfect cube. • 30 does not have a perfect cube factor.

More Related